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Finding the Fourth Proportional to 395.69, 593.20 and 164.44

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Solution

The fourth proportional to 395.69, 593.20 and 164.44 is: 246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.69 : 593.20 = 164.44 : x
  2. Step 2: Convert to fraction form
    395.69/593.20 = 164.44/x
  3. Step 3: Cross multiply
    395.69x = 593.20 × 164.44
  4. Step 4: Simplify right side
    395.69x = 97,542.84
  5. Step 5: Solve for x
    x = 97,542.84/395.69
  6. Step 6: Final answer
    x = 246.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.